Reliability using Return Period Calculator

✖Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.ⓘ Return Period [T_r]			+10% -10%
✖Successive Years following in order.ⓘ Successive Years [n]			+10% -10%

✖Reliability is the probability that a project does not fail its purpose during its design life.ⓘ Reliability using Return Period [R_e]

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Formula

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Reliability using Return Period

Formula

`"R"_{"e"} = (1-(1/"T"_{"r"}))^"n"`

Example

`"0.935298"=(1-(1/"150"))^"10"`

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Download Risk, Reliability and Log-Pearson Distribution Formulas PDF

Reliability using Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reliability = (1-(1/Return Period))^Successive Years
R_e = (1-(1/T_r))^n
This formula uses 3 Variables

Variables Used

Reliability - Reliability is the probability that a project does not fail its purpose during its design life.
Return Period - Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.
Successive Years - Successive Years following in order.

STEP 1: Convert Input(s) to Base Unit

Return Period: 150 --> No Conversion Required
Successive Years: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_e = (1-(1/T_r))^n --> (1-(1/150))^10

Evaluating ... ...

R_e = 0.93529818929244

STEP 3: Convert Result to Output's Unit

0.93529818929244 --> No Conversion Required

FINAL ANSWER

0.93529818929244 ≈ 0.935298 <-- Reliability

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 11 Risk, Reliability and Safety Factor Calculators

Value of Parameter obtained from Hydrological Considerations given Safety Factor

Go Value of Parameter = Actual Value of the Parameter/Safety Factor

Actual Value of Parameter Adopted in Design of Project given Safety Factor

Go Actual Value of the Parameter = Safety Factor*Value of Parameter

Equation for Safety Factor

Go Safety Factor = Actual Value of the Parameter/Value of Parameter

Equation for Safety Margin

Go Safety Margin = Actual Value of the Parameter-Value of Parameter

Reliability using Return Period

Go Reliability = (1-(1/Return Period))^Successive Years

Equation for Risk given Return Period

Go Risk = 1-(1-(1/Return Period))^Successive Years

Equation for Risk

Go Risk = 1-(1-Probability)^Successive Years

Probability given Return Period

Go Probability = 1/Return Period

Return Period given Probability

Go Return Period = 1/Probability

Reliability given Risk

Go Reliability = 1-Risk

Risk given Reliability

Go Risk = 1-Reliability

Reliability using Return Period Formula

Reliability = (1-(1/Return Period))^Successive Years
R_e = (1-(1/T_r))^n

What is Log-Pearson Type III distribution?

The Log-Pearson Type III distribution is a statistical technique for fitting frequency distribution data to predict the design flood for a river at some site. Once the statistical information is calculated for the river site, a frequency distribution can be constructed.

How to Calculate Reliability using Return Period?

Reliability using Return Period calculator uses Reliability = (1-(1/Return Period))^Successive Years to calculate the Reliability, The Reliability using Return Period is defined as the probability that a project does not fail its purpose during its design life. Reliability is denoted by R_e symbol.

How to calculate Reliability using Return Period using this online calculator? To use this online calculator for Reliability using Return Period, enter Return Period (T_r) & Successive Years (n) and hit the calculate button. Here is how the Reliability using Return Period calculation can be explained with given input values -> 0.935298 = (1-(1/150))^10.

FAQ

What is Reliability using Return Period?

The Reliability using Return Period is defined as the probability that a project does not fail its purpose during its design life and is represented as R_e = (1-(1/T_r))^n or Reliability = (1-(1/Return Period))^Successive Years. Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur & Successive Years following in order.

How to calculate Reliability using Return Period?

The Reliability using Return Period is defined as the probability that a project does not fail its purpose during its design life is calculated using Reliability = (1-(1/Return Period))^Successive Years. To calculate Reliability using Return Period, you need Return Period (T_r) & Successive Years (n). With our tool, you need to enter the respective value for Return Period & Successive Years and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Reliability?

In this formula, Reliability uses Return Period & Successive Years. We can use 1 other way(s) to calculate the same, which is/are as follows -

Reliability = 1-Risk

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